~ ?yvD ?Dy
?=c
?
D±s
~ ?yvD ?Dy
? 1 ?
?
￥à
Q
~ ?yvD ?Dy
B aù5￥4
1 a1?
8?￥
§
H
ù5
0
t
t?
,
0
H Y￥
§
H
p t
t
?m,
,
0
tt￥
H Y |B
#í?,t??
HW
t
s
v
=
ü (
0
0
tt
ss
=
).(
2
0
tt
g
+=
,
0
H? tt → | K¤
2
t)(t
lim
0
0
+
=
→
g
v
tt
§
H
,
0
gt=
~ ?yvD ?Dy
2 a MLù5 éL￥ Kê? —— MLê?
lb
lb
~ ?yvD ?Dy
α
T
0
x x
o
x
y
)(xfy =
C
N
M
?m, ?TéL MN ??
Mè7 t_ Kê?
MT,°L MTü?1 wL
C ? M)￥ ML,
Kê?'
.0,0 →∠→ NMTMN
).,(),,(
00
yxNyxM
!
￥|
q1éL MN
0
0
tan
xx
yy
=?,
)()(
0
0
xx
xfxf
=
,,
0
xxMN
C
→→?
wL
￥|
q1 ML MT,
)()(
limtan
0
0
0 xx
xfxf
k
xx
=α=
→
~ ?yvD ?Dy
= a?
￥?l
,,)(
,)(
,0
);()(
,)
(,
)(
0
0
0
00
0
0
0
xx
yxxfy
xxfy
xxy
xfxxfyy
xx
xxx
xxfy
=
′
=
=
→
+=
+
=
:1)￥?
?
i??? K1f) V? ?
5?f
H￥ Ki -1?D
?T |¤9
f
M?1
H ˉ ?
#×
= Vμ O?
V?) |¤9
?1M
μ?l
￥
?
#×
= ?
!f
1 a?l
~ ?yvD ?Dy
.
)()(
lim)(
00
0
0
h
xfhxf
xf
h
+
=
′
→
?
T
.
)()(
lim)(
0
0
0
0 xx
xfxf
xf
xx
=
′
→
x
xfxxf
x
y
y
xx
xx
+
=
=
′
→?→?
=
)()(
limlim
00
00
0
,
)(
00
xxxx
dx
xdf
dx
dy
==
'
~ ?yvD ?Dy
.
,
0
¤?
7M￥ yyM
1M
￥MQ?
)￥M
q??
^yM
? x
.)(,
)(
= V? 7 uWü?f
)? V?
=￥
? 7 uW ?Tf
Ixf
Ixfy =
?
?
1??
￥
a
ü
~ ?yvD ?Dy
.
)(
),(,
.)(.
)(,
dx
xdf
dx
dy
xfy
xf
xfIx
:T
￥?f
??f
?Se ?f
?
′
￥B? ??￥??"? ?B
′′
∈
x
xfxxf
y
x
+
=
′
→?
)()(
lim
0
'
.
)()(
lim)(
0
h
xfhxf
xf
h
+
=
′
→
?i
.)()(.1
0
0 xx
xfxf
=
′
=
′
?
~ ?yvD ?Dy
lb
lb
2 a?f
(
§
HM
q )
^f
ü (M
q￥/
íf
,
~ ?yvD ?Dy
?
2.·?
,
?§?
1.P?
,;
)()(
lim
)()(
lim)(
00
0
0
0
0
0
0 x
xfxxf
xx
xfxf
xf
xxx
+
=
=
′
→→;
)()(
lim
)()(
lim)(
00
0
0
0
0
0
0 x
xfxxf
xx
xfxf
xf
xxx
+
=
=
′
+→?+→
+
f
)(xf ?
0
x ) VP?
)(
0
xf
′
·
?
)(
0
xf
+
′
?i OM?,
?
~ ?yvD ?Dy
?T )(xf 7 uW ( )ba,
= V? O )(af
+
′
#
)(bf
′
?i ü
a )(xf > uW []ba,
V?,
?
.
,
),(
),(
)(
0
0
0
V??
￥)
?
!f
x
xxx
xxx
xf
<
≥
=
ψ
x
xfxxf
x
+
→?
)()(
lim
00
0
?
x
xxx
x
+
=
→?
)()(
lim
00
0
ψ
,)(
0
i xf
′
=
?
~ ?yvD ?Dy
5 )(xf ?
0
x V?
,)(
0
i xf
+
′
=
x
xfxxf
x
+
+→?
)()(
lim
00
0
?
x
xxx
x
+
=
+→?
)()(
lim
00
0
,)()(
00
axfxf =
′
=
′
+?
O
.)(
0
axf =
′
O
~ ?yvD ?Dy
? a??l p?
??,
);()()1( xfxxfy+=? p9
;
)()(
)2(
x
xfxxf
x
y
+
=
1′
.lim)3(
0
x
y
y
x
=
′
→?
p K
è
.)()( ￥?
1è
pf
CCxf =
3
h
xfhxf
xf
h
)()(
lim)(
0
+
=
′
→
h
CC
h
=
→0
lim
.0=
.0)( =
′
C'
~ ?yvD ?Dy
è
.)(sin)(sin,sin)(
4
π
=
′′
=
x
xxxxf # p
!f
3
h
xhx
x
h
sin)sin(
lim)(sin
0
+
=
′
→
2
2
sin
)
2
cos(lim
0
h
h
h
x
h
+=
→
.cos x=
.cos)(sin xx =
′
'
44
cos)(sin
π
=
π
=
=
′
∴
xx
xx
.
2
2
=
~ ?yvD ?Dy
è ,)( ￥?
1??
pf
nxy
n
=
3
h
xhx
x
nn
h
n
+
=
′
→
)(
lim)(
0
]
!2
)1(
[lim
121
0
→
++
+=
nnn
h
hhx
nn
nx L
1?
=
n
nx
.)(
1?
=
′
nn
nxx'
÷B?1 )(.)(
1
Rxx ∈μμ=
′
μμ
)(
′
x
è ?,
1
2
1
2
1
= x
.
2
1
x
=
)(
1
′
x
11
)1(
= x
.
1
2
x
=
~ ?yvD ?Dy
è ,)1,0()( ￥?
pf
≠>= aaaxf
x
3
h
aa
a
xhx
h
x
=
′
+
→0
lim)(
h
a
a
h
h
x
1
lim
0
=
→
.lnaa
x
=
.ln)( aaa
xx
=
′
',)(
xx
ee =
′
~ ?yvD ?Dy
è ,)1,0(log ￥?
pf
≠>= aaxy
a
3
h
xhx
y
aa
h
log)(log
lim
0
+
=
′
→
.log
1
)(log e
x
x
aa
=
′
',
1
)(ln
x
x =
′
x
x
h
x
h
a
h
1
)1(log
lim
0
+
=
→
h
x
a
h
x
h
x
)1(loglim
1
0
+=
→
.log
1
e
x
a
=
~ ?yvD ?Dy
è
.0)( )￥ V?? )
f
== xxxf
3 xy =
x
y
o
,
)0()0(
h
h
h
fhf
=
+
Q
h
h
h
fhf
hh
++
→→
=
+
00
lim
)0()0(
lim
,1=
h
h
h
fhf
hh
=
+
→→ 00
lim
)0()0(
lim
.1?=
),0()0(
+
′
≠
′
ff'
.0)( ?? V? f
==∴ xxfy
~ ?yvD ?Dy
1 a?
￥+ilDt ?il
o
x
y
)(xfy =
α
T
0
x
M
1 a+il
)(,tan)(
,
))(,(
)()(
0
00
0
1 `?
' ML￥|
q
)￥ ?
V
U wL
αα=
′
=
′
xf
xfxM
xfyxf
MLZ?1
ELZ?1
).)((
000
xxxfyy?
′
=?
).(
)(
1
0
0
0
xx
xf
yy?
′
=?
~ ?yvD ?Dy
è
.,
)2,
2
1
(
1
Z?ELZ?i ??)￥ ML|
q
)￥ ML￥ ? p?H
wL
x
y =
3
??
￥+il,¤ ML|
q1
2
1
=
′
=
x
yk
2
1
)
1
(
=
′
=
x
x
2
1
2
1
=
=
x
x
.4?=
p MLZ?1
ELZ?1
),
2
1
(42=? xy
),
2
1
(
4
1
2?=? xy
.044 =?+ yx'
.01582 =+? yx'
~ ?yvD ?Dy
2 at ?il
d (
M
￥
§
HM
q,
M
°L?
^?
HW￥?
1t8￥
§
H
,
.lim)(
0
dt
ds
t
s
tv
t
=
=
→?
?
@è
^ è
HW￥?
1è
@ <,
.lim)(
0
dt
dq
t
q
ti
t
=
=
→?
d (
￥t8 é
é(
,8 )￥?
1t8￥L (
,8 )
á,
~ ?yvD ?Dy
? a V?D ??￥1"
? ? O V?f
?
^ ??f
￡,)(
0
V? ?
!f
xxf
)(lim
0
0
xf
x
y
x
′
=
→?
α+
′
=
)(
0
xf
x
y
xxxfy?+?
′
=? α)(
0
])([limlim
0
00
xxxfy
xx
α+?
′
=?
→?→?
0=
.)(
0
?? ?f
xxf∴
)0(0 →?→ xα
~ ?yvD ?Dy
??f
?i ?
è
.,)(
)()(,)(.1
000
f
??? V?￥??1f
5?? ? ??f
xf
xxfxfxf
+?
′
≠
′
x
y
2
xy =
0
xy =
è ?,
,
0,
0,
)(
2
>
≤
=
xx
xx
xf
.)(0,0 ￥??1)? V? xfxx ==
?i ?? ?￥
I? ??? ?,
?
~ ?yvD ?Dy
3
1?= xy
x
y
0 1
)(.)(
,
)()(
limlim
,)(.2
0
00
00
0
? V?μí k?
??f
? ?? ?
!f
xxf
x
xfxxf
x
y
xxf
xx
∞=
+
=
→?→?
è ?,
,1)(
3
= xxf
.1)? V? =x
~ ?yvD ?Dy
.,)(
)(.3
0
?? V?5·????
?i ???￥P·?
?f
x
xf
,
0,0
0,
1
sin
)(
=
≠
=
x
x
x
x
xf
è ?,
.0)? V? =x
0
1
1/41/4
x
y
~ ?yvD ?Dy
.)(
)(,
,)(.4
0
00
? V??
￥U?1f
5???|MQ
￥
??§?
O ? ?
xfx
xxf ∞=
′
x
y
o
x
y
0
xo
)(xfy =
)(xfy =
~ ?yvD ?Dy
è
.0
,
0,0
0,
1
sin
)(
)￥ ???D V??
)
f
=
=
≠
=
x
x
x
x
x
xf
3
,
1
sin
^μ?f
x
Q
0
1
sinlim
0
=∴
→
x
x
x
.0)( ) ?? =∴ xxf
)μ? 0=x
x
x
x
x
y
+
+
=
0
0
1
sin)0(
x?
=
1
sin
.11,0 -W??7 K?i
H
→?
x
y
x
.0)( )? V? =∴ xxf
0)(lim)0(
0
==
→
xff
x
Q
~ ?yvD ?Dy
B al2
1,?
￥
Lé,9
1￥ K ;
2,axf =
′
)(
0
=
′
)(
0
xf ;)(
0
axf =
′
+
3,?
￥+il, ML￥|
q ;
4,f
V?B? ??? ???B? V? ;
5, p?
K'￥ZE,??l p?
,
6,
V??
? ??,B?? V?,
??
°¤¨?l ;
AP·?
^?i OM?,
~ ?yvD ?Dy
± I5
f
)(xf
?
0
x )￥?
)(
0
xf
′
D?f
)(xf
′
μ
I
1 uYD ó"$
~ ?yvD ?Dy
± I53s
??
￥?l? )(
0
xf
′
^B? 8￥
′ )(xf
′
^?? )(xf
uW I
B
?? V?7?l I
￥B??f
'
Ix∈? μ·B′ )(xf
′
D-?
[
?￥ uY
^ B?
^
′
6B?
^f
?￥ ó"
^
?
0
x )￥?
)(
0
xf
′
'
^?
f
)(xf
′
0
x )￥f
′
~ ?yvD ?Dy
B a A b5
a
! )(xf
0
xx = ) V?' )(
0
xf
′
i 5
_________
)()(
lim
00
0
=
+
→?
x
xfxxf
x
_________
)()(
lim
00
0
=
→?
x
xfxxf
x
a X?t8￥?
p1
2
ts =
ü
5?t8
2=t
e
H￥
1 @ @ @ @ @ @ @
a
!
3 2
1
)( xxy =
2
2
1
)(
x
xy =
5
3 22
3
)(
x
xx
xy =
5
ì￥?
sY1
dx
dy
1
@ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @
dx
dy
2
@ @ @ @ @ @ @ @ @ @ @ @ @
dx
dy
3
@ @ @ @ @ @ @ @ @ @ @ @ @
5
~ ?yvD ?Dy
a
!
2
)( xxf =
5 [ ]=
′
)(xff @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @
[]=
′
)(xff @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @
a wL
x
ey = ? )1,0( )￥ MLZ?1
@ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @
= a /
ò5? (L? )(
0
xf
′
i ?v?
￥?
l43/
Ksi· AV
U
I
1$
a A
xx
xfxf
xx
=
→
0
0
)()(
lim
0
a A
h
hf
h
=
→
)(
lim
0
? )0(0)0( ff
′
= O i
a A
h
hxfhxf
h
=
+
→
)()(
lim
00
0
? a￡
ü ? )(xf 1
}f
O )0(f
′
i 5 0)0( =
′
f
~ ?yvD ?Dy
1 a
!f
=
≠
=
0,0
0,
1
sin
)(
x
x
x
x
xf
k
ù L
@
I
1H
q )(xf 0=x )
??
V?
?
??
? a
!f
>+
≤
=
1,
1,
)(
2
xbax
xx
xf
1
Pf
)(xf 1=x ) ?? O V? ba,? |
I
1′
B a X?
≥
<
=
0,
0,sin
)(
xx
xx
xf
p )(xf
t a ￡
ü
wL
2
axy =
?B?)￥ MLD
USà?￥ ???￥
???
2
2a
~ ?yvD ?Dy
? a
!μB?%? |?￥B
T1e??
?i?
￥US1 x ?
^s? uW ]1,0[
%?￥é
m
^ x ￥f
)(xmm = ?8" ??%? ?
0
x )￥L
á
? (
%? ?
a?êé%?
￥é
?T?%?￥L
á$
~ ?yvD ?Dy
B a a )(
0
xf
′
)(
0
xf
′
a
a
6
5
3
3
1
6
1
,
2
,
3
2
x
x
x a
2
4x
2
2x
a 01 =+? yx
= a a )(
0
xf
′
a )0(f
′
a )(2
0
xf
′
1 a
? 0>k
H
)(xf 0=x ) ??
? 1>k
H
)(xf 0=x ) V?
O 0)0( =
′
f
? 2>k # 0≠x
H
)(xf
′
0=x ) ??
? a 1,2?== ba
B a
≥
<
=
0,1
0,cos
)(
x
xx
xf ? a
0
xx
dx
dm
=
5s?
~ ?yvD ?Dy
2. MLù5 éL￥ Kê? —— MLê?
~ ?yvD ?Dy
2. MLù5 éL￥ Kê? —— MLê?
~ ?yvD ?Dy
2. MLù5 éL￥ Kê? —— MLê?
~ ?yvD ?Dy
2. MLù5 éL￥ Kê? —— MLê?
~ ?yvD ?Dy
2. MLù5 éL￥ Kê? —— MLê?
~ ?yvD ?Dy
2. MLù5 éL￥ Kê? —— MLê?
~ ?yvD ?Dy
2. MLù5 éL￥ Kê? —— MLê?
~ ?yvD ?Dy
2. MLù5 éL￥ Kê? —— MLê?
~ ?yvD ?Dy
2. MLù5 éL￥ Kê? —— MLê?
~ ?yvD ?Dy
2. MLù5 éL￥ Kê? —— MLê?
~ ?yvD ?Dy
2.?f
(
§
HM
q )
^f
ü (M
q￥/í
f
,
~ ?yvD ?Dy
2.?f
(
§
HM
q )
^f
ü (M
q￥/í
f
,
~ ?yvD ?Dy
2.?f
(
§
HM
q )
^f
ü (M
q￥/í
f
,
~ ?yvD ?Dy
2.?f
(
§
HM
q )
^f
ü (M
q￥/í
f
,
~ ?yvD ?Dy
2.?f
(
§
HM
q )
^f
ü (M
q￥/í
f
,
~ ?yvD ?Dy
2.?f
(
§
HM
q )
^f
ü (M
q￥/í
f
,
~ ?yvD ?Dy
2.?f
(
§
HM
q )
^f
ü (M
q￥/í
f
,
~ ?yvD ?Dy
2.?f
(
§
HM
q )
^f
ü (M
q￥/í
f
,
~ ?yvD ?Dy
2.?f
(
§
HM
q )
^f
ü (M
q￥/í
f
,
~ ?yvD ?Dy
2.?f
(
§
HM
q )
^f
ü (M
q￥/í
f
,
~ ?yvD ?Dy
2.?f
(
§
HM
q )
^f
ü (M
q￥/í
f
,
~ ?yvD ?Dy
2.?f
(
§
HM
q )
^f
ü (M
q￥/í
f
,
B a 1 a 2 aC
D
= a 1 a 2 a6 3 a 4 a
4
1
5 a 6 a
2ln
4
2
acos
6
e
? a
e
5? ?
?
,?? ?
?
?? 5Tf
∴
=∈?∴
>=<?=
=
0)(,,),2,1(
01)2(,03)1(
]2,1[)(13)(
3
ξξ fts
ff
xfxxxf
Q
t ? Is?
1 a
¤e
5? ? a8
5?
,?? ? ?
5?1 ?
? ??
5Tf
00
0
0
21
0)(,.
),,0( 0)(2
0)(1
0)sin1()(,0)0(,
],0[)(sin)(
∴
=
+∈?>+
+==+
≥?=+<?=
+=
ξ
ξ
fts
babaf
baxbaf
aabafbf
baxfbxaxxf
Q
? a
ξξ
ξξ
=
=∈?∴
>?=<?=
=
)(
0)(,,),,(
0)()(,0)()(
],[)()()(
f
Ftsba
bbfbFaafaF
baxFxxfxF
;
?
,?? ?
?
?? 5Tf
Q
?=c
?
D±s
~ ?yvD ?Dy
? 1 ?
?
￥à
Q
~ ?yvD ?Dy
B aù5￥4
1 a1?
8?￥
§
H
ù5
0
t
t?
,
0
H Y￥
§
H
p t
t
?m,
,
0
tt￥
H Y |B
#í?,t??
HW
t
s
v
=
ü (
0
0
tt
ss
=
).(
2
0
tt
g
+=
,
0
H? tt → | K¤
2
t)(t
lim
0
0
+
=
→
g
v
tt
§
H
,
0
gt=
~ ?yvD ?Dy
2 a MLù5 éL￥ Kê? —— MLê?
lb
lb
~ ?yvD ?Dy
α
T
0
x x
o
x
y
)(xfy =
C
N
M
?m, ?TéL MN ??
Mè7 t_ Kê?
MT,°L MTü?1 wL
C ? M)￥ ML,
Kê?'
.0,0 →∠→ NMTMN
).,(),,(
00
yxNyxM
!
￥|
q1éL MN
0
0
tan
xx
yy
=?,
)()(
0
0
xx
xfxf
=
,,
0
xxMN
C
→→?
wL
￥|
q1 ML MT,
)()(
limtan
0
0
0 xx
xfxf
k
xx
=α=
→
~ ?yvD ?Dy
= a?
￥?l
,,)(
,)(
,0
);()(
,)
(,
)(
0
0
0
00
0
0
0
xx
yxxfy
xxfy
xxy
xfxxfyy
xx
xxx
xxfy
=
′
=
=
→
+=
+
=
:1)￥?
?
i??? K1f) V? ?
5?f
H￥ Ki -1?D
?T |¤9
f
M?1
H ˉ ?
#×
= Vμ O?
V?) |¤9
?1M
μ?l
￥
?
#×
= ?
!f
1 a?l
~ ?yvD ?Dy
.
)()(
lim)(
00
0
0
h
xfhxf
xf
h
+
=
′
→
?
T
.
)()(
lim)(
0
0
0
0 xx
xfxf
xf
xx
=
′
→
x
xfxxf
x
y
y
xx
xx
+
=
=
′
→?→?
=
)()(
limlim
00
00
0
,
)(
00
xxxx
dx
xdf
dx
dy
==
'
~ ?yvD ?Dy
.
,
0
¤?
7M￥ yyM
1M
￥MQ?
)￥M
q??
^yM
? x
.)(,
)(
= V? 7 uWü?f
)? V?
=￥
? 7 uW ?Tf
Ixf
Ixfy =
?
?
1??
￥
a
ü
~ ?yvD ?Dy
.
)(
),(,
.)(.
)(,
dx
xdf
dx
dy
xfy
xf
xfIx
:T
￥?f
??f
?Se ?f
?
′
￥B? ??￥??"? ?B
′′
∈
x
xfxxf
y
x
+
=
′
→?
)()(
lim
0
'
.
)()(
lim)(
0
h
xfhxf
xf
h
+
=
′
→
?i
.)()(.1
0
0 xx
xfxf
=
′
=
′
?
~ ?yvD ?Dy
lb
lb
2 a?f
(
§
HM
q )
^f
ü (M
q￥/
íf
,
~ ?yvD ?Dy
?
2.·?
,
?§?
1.P?
,;
)()(
lim
)()(
lim)(
00
0
0
0
0
0
0 x
xfxxf
xx
xfxf
xf
xxx
+
=
=
′
→→;
)()(
lim
)()(
lim)(
00
0
0
0
0
0
0 x
xfxxf
xx
xfxf
xf
xxx
+
=
=
′
+→?+→
+
f
)(xf ?
0
x ) VP?
)(
0
xf
′
·
?
)(
0
xf
+
′
?i OM?,
?
~ ?yvD ?Dy
?T )(xf 7 uW ( )ba,
= V? O )(af
+
′
#
)(bf
′
?i ü
a )(xf > uW []ba,
V?,
?
.
,
),(
),(
)(
0
0
0
V??
￥)
?
!f
x
xxx
xxx
xf
<
≥
=
ψ
x
xfxxf
x
+
→?
)()(
lim
00
0
?
x
xxx
x
+
=
→?
)()(
lim
00
0
ψ
,)(
0
i xf
′
=
?
~ ?yvD ?Dy
5 )(xf ?
0
x V?
,)(
0
i xf
+
′
=
x
xfxxf
x
+
+→?
)()(
lim
00
0
?
x
xxx
x
+
=
+→?
)()(
lim
00
0
,)()(
00
axfxf =
′
=
′
+?
O
.)(
0
axf =
′
O
~ ?yvD ?Dy
? a??l p?
??,
);()()1( xfxxfy+=? p9
;
)()(
)2(
x
xfxxf
x
y
+
=
1′
.lim)3(
0
x
y
y
x
=
′
→?
p K
è
.)()( ￥?
1è
pf
CCxf =
3
h
xfhxf
xf
h
)()(
lim)(
0
+
=
′
→
h
CC
h
=
→0
lim
.0=
.0)( =
′
C'
~ ?yvD ?Dy
è
.)(sin)(sin,sin)(
4
π
=
′′
=
x
xxxxf # p
!f
3
h
xhx
x
h
sin)sin(
lim)(sin
0
+
=
′
→
2
2
sin
)
2
cos(lim
0
h
h
h
x
h
+=
→
.cos x=
.cos)(sin xx =
′
'
44
cos)(sin
π
=
π
=
=
′
∴
xx
xx
.
2
2
=
~ ?yvD ?Dy
è ,)( ￥?
1??
pf
nxy
n
=
3
h
xhx
x
nn
h
n
+
=
′
→
)(
lim)(
0
]
!2
)1(
[lim
121
0
→
++
+=
nnn
h
hhx
nn
nx L
1?
=
n
nx
.)(
1?
=
′
nn
nxx'
÷B?1 )(.)(
1
Rxx ∈μμ=
′
μμ
)(
′
x
è ?,
1
2
1
2
1
= x
.
2
1
x
=
)(
1
′
x
11
)1(
= x
.
1
2
x
=
~ ?yvD ?Dy
è ,)1,0()( ￥?
pf
≠>= aaaxf
x
3
h
aa
a
xhx
h
x
=
′
+
→0
lim)(
h
a
a
h
h
x
1
lim
0
=
→
.lnaa
x
=
.ln)( aaa
xx
=
′
',)(
xx
ee =
′
~ ?yvD ?Dy
è ,)1,0(log ￥?
pf
≠>= aaxy
a
3
h
xhx
y
aa
h
log)(log
lim
0
+
=
′
→
.log
1
)(log e
x
x
aa
=
′
',
1
)(ln
x
x =
′
x
x
h
x
h
a
h
1
)1(log
lim
0
+
=
→
h
x
a
h
x
h
x
)1(loglim
1
0
+=
→
.log
1
e
x
a
=
~ ?yvD ?Dy
è
.0)( )￥ V?? )
f
== xxxf
3 xy =
x
y
o
,
)0()0(
h
h
h
fhf
=
+
Q
h
h
h
fhf
hh
++
→→
=
+
00
lim
)0()0(
lim
,1=
h
h
h
fhf
hh
=
+
→→ 00
lim
)0()0(
lim
.1?=
),0()0(
+
′
≠
′
ff'
.0)( ?? V? f
==∴ xxfy
~ ?yvD ?Dy
1 a?
￥+ilDt ?il
o
x
y
)(xfy =
α
T
0
x
M
1 a+il
)(,tan)(
,
))(,(
)()(
0
00
0
1 `?
' ML￥|
q
)￥ ?
V
U wL
αα=
′
=
′
xf
xfxM
xfyxf
MLZ?1
ELZ?1
).)((
000
xxxfyy?
′
=?
).(
)(
1
0
0
0
xx
xf
yy?
′
=?
~ ?yvD ?Dy
è
.,
)2,
2
1
(
1
Z?ELZ?i ??)￥ ML|
q
)￥ ML￥ ? p?H
wL
x
y =
3
??
￥+il,¤ ML|
q1
2
1
=
′
=
x
yk
2
1
)
1
(
=
′
=
x
x
2
1
2
1
=
=
x
x
.4?=
p MLZ?1
ELZ?1
),
2
1
(42=? xy
),
2
1
(
4
1
2?=? xy
.044 =?+ yx'
.01582 =+? yx'
~ ?yvD ?Dy
2 at ?il
d (
M
￥
§
HM
q,
M
°L?
^?
HW￥?
1t8￥
§
H
,
.lim)(
0
dt
ds
t
s
tv
t
=
=
→?
?
@è
^ è
HW￥?
1è
@ <,
.lim)(
0
dt
dq
t
q
ti
t
=
=
→?
d (
￥t8 é
é(
,8 )￥?
1t8￥L (
,8 )
á,
~ ?yvD ?Dy
? a V?D ??￥1"
? ? O V?f
?
^ ??f
￡,)(
0
V? ?
!f
xxf
)(lim
0
0
xf
x
y
x
′
=
→?
α+
′
=
)(
0
xf
x
y
xxxfy?+?
′
=? α)(
0
])([limlim
0
00
xxxfy
xx
α+?
′
=?
→?→?
0=
.)(
0
?? ?f
xxf∴
)0(0 →?→ xα
~ ?yvD ?Dy
??f
?i ?
è
.,)(
)()(,)(.1
000
f
??? V?￥??1f
5?? ? ??f
xf
xxfxfxf
+?
′
≠
′
x
y
2
xy =
0
xy =
è ?,
,
0,
0,
)(
2
>
≤
=
xx
xx
xf
.)(0,0 ￥??1)? V? xfxx ==
?i ?? ?￥
I? ??? ?,
?
~ ?yvD ?Dy
3
1?= xy
x
y
0 1
)(.)(
,
)()(
limlim
,)(.2
0
00
00
0
? V?μí k?
??f
? ?? ?
!f
xxf
x
xfxxf
x
y
xxf
xx
∞=
+
=
→?→?
è ?,
,1)(
3
= xxf
.1)? V? =x
~ ?yvD ?Dy
.,)(
)(.3
0
?? V?5·????
?i ???￥P·?
?f
x
xf
,
0,0
0,
1
sin
)(
=
≠
=
x
x
x
x
xf
è ?,
.0)? V? =x
0
1
1/41/4
x
y
~ ?yvD ?Dy
.)(
)(,
,)(.4
0
00
? V??
￥U?1f
5???|MQ
￥
??§?
O ? ?
xfx
xxf ∞=
′
x
y
o
x
y
0
xo
)(xfy =
)(xfy =
~ ?yvD ?Dy
è
.0
,
0,0
0,
1
sin
)(
)￥ ???D V??
)
f
=
=
≠
=
x
x
x
x
x
xf
3
,
1
sin
^μ?f
x
Q
0
1
sinlim
0
=∴
→
x
x
x
.0)( ) ?? =∴ xxf
)μ? 0=x
x
x
x
x
y
+
+
=
0
0
1
sin)0(
x?
=
1
sin
.11,0 -W??7 K?i
H
→?
x
y
x
.0)( )? V? =∴ xxf
0)(lim)0(
0
==
→
xff
x
Q
~ ?yvD ?Dy
B al2
1,?
￥
Lé,9
1￥ K ;
2,axf =
′
)(
0
=
′
)(
0
xf ;)(
0
axf =
′
+
3,?
￥+il, ML￥|
q ;
4,f
V?B? ??? ???B? V? ;
5, p?
K'￥ZE,??l p?
,
6,
V??
? ??,B?? V?,
??
°¤¨?l ;
AP·?
^?i OM?,
~ ?yvD ?Dy
± I5
f
)(xf
?
0
x )￥?
)(
0
xf
′
D?f
)(xf
′
μ
I
1 uYD ó"$
~ ?yvD ?Dy
± I53s
??
￥?l? )(
0
xf
′
^B? 8￥
′ )(xf
′
^?? )(xf
uW I
B
?? V?7?l I
￥B??f
'
Ix∈? μ·B′ )(xf
′
D-?
[
?￥ uY
^ B?
^
′
6B?
^f
?￥ ó"
^
?
0
x )￥?
)(
0
xf
′
'
^?
f
)(xf
′
0
x )￥f
′
~ ?yvD ?Dy
B a A b5
a
! )(xf
0
xx = ) V?' )(
0
xf
′
i 5
_________
)()(
lim
00
0
=
+
→?
x
xfxxf
x
_________
)()(
lim
00
0
=
→?
x
xfxxf
x
a X?t8￥?
p1
2
ts =
ü
5?t8
2=t
e
H￥
1 @ @ @ @ @ @ @
a
!
3 2
1
)( xxy =
2
2
1
)(
x
xy =
5
3 22
3
)(
x
xx
xy =
5
ì￥?
sY1
dx
dy
1
@ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @
dx
dy
2
@ @ @ @ @ @ @ @ @ @ @ @ @
dx
dy
3
@ @ @ @ @ @ @ @ @ @ @ @ @
5
~ ?yvD ?Dy
a
!
2
)( xxf =
5 [ ]=
′
)(xff @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @
[]=
′
)(xff @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @
a wL
x
ey = ? )1,0( )￥ MLZ?1
@ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @
= a /
ò5? (L? )(
0
xf
′
i ?v?
￥?
l43/
Ksi· AV
U
I
1$
a A
xx
xfxf
xx
=
→
0
0
)()(
lim
0
a A
h
hf
h
=
→
)(
lim
0
? )0(0)0( ff
′
= O i
a A
h
hxfhxf
h
=
+
→
)()(
lim
00
0
? a￡
ü ? )(xf 1
}f
O )0(f
′
i 5 0)0( =
′
f
~ ?yvD ?Dy
1 a
!f
=
≠
=
0,0
0,
1
sin
)(
x
x
x
x
xf
k
ù L
@
I
1H
q )(xf 0=x )
??
V?
?
??
? a
!f
>+
≤
=
1,
1,
)(
2
xbax
xx
xf
1
Pf
)(xf 1=x ) ?? O V? ba,? |
I
1′
B a X?
≥
<
=
0,
0,sin
)(
xx
xx
xf
p )(xf
t a ￡
ü
wL
2
axy =
?B?)￥ MLD
USà?￥ ???￥
???
2
2a
~ ?yvD ?Dy
? a
!μB?%? |?￥B
T1e??
?i?
￥US1 x ?
^s? uW ]1,0[
%?￥é
m
^ x ￥f
)(xmm = ?8" ??%? ?
0
x )￥L
á
? (
%? ?
a?êé%?
￥é
?T?%?￥L
á$
~ ?yvD ?Dy
B a a )(
0
xf
′
)(
0
xf
′
a
a
6
5
3
3
1
6
1
,
2
,
3
2
x
x
x a
2
4x
2
2x
a 01 =+? yx
= a a )(
0
xf
′
a )0(f
′
a )(2
0
xf
′
1 a
? 0>k
H
)(xf 0=x ) ??
? 1>k
H
)(xf 0=x ) V?
O 0)0( =
′
f
? 2>k # 0≠x
H
)(xf
′
0=x ) ??
? a 1,2?== ba
B a
≥
<
=
0,1
0,cos
)(
x
xx
xf ? a
0
xx
dx
dm
=
5s?
~ ?yvD ?Dy
2. MLù5 éL￥ Kê? —— MLê?
~ ?yvD ?Dy
2. MLù5 éL￥ Kê? —— MLê?
~ ?yvD ?Dy
2. MLù5 éL￥ Kê? —— MLê?
~ ?yvD ?Dy
2. MLù5 éL￥ Kê? —— MLê?
~ ?yvD ?Dy
2. MLù5 éL￥ Kê? —— MLê?
~ ?yvD ?Dy
2. MLù5 éL￥ Kê? —— MLê?
~ ?yvD ?Dy
2. MLù5 éL￥ Kê? —— MLê?
~ ?yvD ?Dy
2. MLù5 éL￥ Kê? —— MLê?
~ ?yvD ?Dy
2. MLù5 éL￥ Kê? —— MLê?
~ ?yvD ?Dy
2. MLù5 éL￥ Kê? —— MLê?
~ ?yvD ?Dy
2.?f
(
§
HM
q )
^f
ü (M
q￥/í
f
,
~ ?yvD ?Dy
2.?f
(
§
HM
q )
^f
ü (M
q￥/í
f
,
~ ?yvD ?Dy
2.?f
(
§
HM
q )
^f
ü (M
q￥/í
f
,
~ ?yvD ?Dy
2.?f
(
§
HM
q )
^f
ü (M
q￥/í
f
,
~ ?yvD ?Dy
2.?f
(
§
HM
q )
^f
ü (M
q￥/í
f
,
~ ?yvD ?Dy
2.?f
(
§
HM
q )
^f
ü (M
q￥/í
f
,
~ ?yvD ?Dy
2.?f
(
§
HM
q )
^f
ü (M
q￥/í
f
,
~ ?yvD ?Dy
2.?f
(
§
HM
q )
^f
ü (M
q￥/í
f
,
~ ?yvD ?Dy
2.?f
(
§
HM
q )
^f
ü (M
q￥/í
f
,
~ ?yvD ?Dy
2.?f
(
§
HM
q )
^f
ü (M
q￥/í
f
,
~ ?yvD ?Dy
2.?f
(
§
HM
q )
^f
ü (M
q￥/í
f
,
~ ?yvD ?Dy
2.?f
(
§
HM
q )
^f
ü (M
q￥/í
f
,
B a 1 a 2 aC
D
= a 1 a 2 a6 3 a 4 a
4
1
5 a 6 a
2ln
4
2
acos
6
e
? a
e
5? ?
?
,?? ?
?
?? 5Tf
∴
=∈?∴
>=<?=
=
0)(,,),2,1(
01)2(,03)1(
]2,1[)(13)(
3
ξξ fts
ff
xfxxxf
Q
t ? Is?
1 a
¤e
5? ? a8
5?
,?? ? ?
5?1 ?
? ??
5Tf
00
0
0
21
0)(,.
),,0( 0)(2
0)(1
0)sin1()(,0)0(,
],0[)(sin)(
∴
=
+∈?>+
+==+
≥?=+<?=
+=
ξ
ξ
fts
babaf
baxbaf
aabafbf
baxfbxaxxf
Q
? a
ξξ
ξξ
=
=∈?∴
>?=<?=
=
)(
0)(,,),,(
0)()(,0)()(
],[)()()(
f
Ftsba
bbfbFaafaF
baxFxxfxF
;
?
,?? ?
?
?? 5Tf
Q
